Determine the optimal order quantity using the quantity discount model.

Annual demand$-100,000$

The order cost$-$ $$50$

Annual holding rate$-20\%$

Price varies depending on the order quantity per the following

Orders between $1$ to $2,000$ units cost $$12$

Orders of $2001$ to $5,000$ cost $$11$

Orders of $5,001$ and greater cost $$10$

What is the optimal order quantity and what price will you pay when buying at the optimal order quantity

What is the total annual inventory cost when you buy this part at the optimal order quantity and the corresponding price